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Understanding Systems of Inequalities

Understanding Systems of Inequalities

Assessment

Interactive Video

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSA.REI.D.12, HSF-IF.C.7A, 8.EE.B.5

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSA.REI.D.12
,
CCSS.HSF-IF.C.7A
,
CCSS.8.EE.B.5
The video tutorial explains how to determine a system of inequalities from a graph. It covers analyzing a parabola and a red line, focusing on their equations, intercepts, and vertex. The tutorial emphasizes the importance of using test points to select the correct inequality when the equation is not solved for y. It provides a step-by-step approach to understanding the graph's shaded region and the inequalities that define it.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of inequality symbols are used when both graphs are solid?

Not equal to

Less than or greater than

Less than or equal to or greater than or equal to

Equal to

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertex form of a quadratic function?

y = a(x + h)^2 + k

y = a(x - h)^2 + k

y = a(x - h)^2 - k

y = a(x + h)^2 - k

Tags

CCSS.HSF-IF.C.7A

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a parabola opens downward, what can be said about the value of 'a' in its vertex form?

a is positive

a is zero

a is undefined

a is negative

Tags

CCSS.8.EE.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the red line discussed in the video?

1

1/2

2

0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertical intercept of the red line?

(-3, 0)

(0, 3)

(0, -3)

(3, 0)

Tags

CCSS.HSF-IF.C.7A

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation represents the red line based on its intercepts?

x + 2y = 6

2x + y = 6

2x - y = 6

x - 2y = 6

Tags

CCSS.HSA.REI.D.12

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to select a test point when the inequality is not solved for y?

To decide whether to shade above or below the line

To calculate the vertex

To find the intercepts

To determine the slope

Tags

CCSS.HSA.REI.D.12

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